Week 9 – Precalc 11

Posted on November 2, 2018 by shiry2016

1.) Standard (Vertex) Form: y = a (x-p)²+ q

We can find the vertex

2.) General Form: y = ax² + bx + c

You can find the Y-intercepts

3.) Factored Form: y = a ( x – x1 ) (x – y2 )

You can find the X-intercepts

We also learned how parent functions transform . Here we have the vertex form y = a (x-p)²+ q

in the equation will tell us if the parabola opens down or up, and if there’s a stretch or a compression. the p will tell us if there’s a horizontal translation and the q will tell us if there’s a vertical translation.

Week 8 – Precalculus 11

Quote

Posted on November 2, 2018 by shiry2016

In this week we learned how to graph trinomials.

if the graph is Y=X^2
notice how this graph has its axis at (0,0) and how it is going up 1,3,5

if the graph is Y=X^2 +2
The + 2 makes the parabola just go up to spaces so the axis is now (0,2) and still has the same pattern 1,3,5

if the graph is y= (x-2)^2
the -2 means to go to the right 2 so its the opposite of the symbol to which side you go so if it was +2 you would have gone 2 to the left

if the graph is y=2x^2
the 2 in front of the x makes it stretched out upwards because before there is an imaginary 1 in front of the x and now its 2 so it goes from 1,3,5 to 2,6,10 which makes the graph look skinner

Function Direction of open vert Axis of sym congruent to y=x² ?

i.)y=x² up (0,0) x=0 yes

ii.)y=(x-7)² up (0,7) x=0 yes

iii.)y=-7x² Down (0,0) x=0 No

i.)Because x is a positive thats why the direction goes up in the graph and the vertex is x=0, y=0.

ii.)Because x is positive the direction goes up and congruent will be yes.

iii.)Because x is negative so direction goes down and the congruent will be No.